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4 sin x =-1+2 sin x

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2 Answers

We need to isolate x like any algebraic equation:
 
4sin(x) = -1 + 2sin(x)
4sin(x) - 2sin(x) = -1
2sin(x) = -1
sin(x) = -1/2
x = sin-1(-1/2)
x = -.524
 
But since the answer must be between 0 and 2pi, you add 2pi to the answer to get it in the right range:
 
-.524 + 2pi = 5.759
 
 

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